Showing author’s page with no posts

You can use the get_queried_object where the CODEX says:

if you’re on an author archive, it will return the author object

So since you have an object, you can return it values:

$author = get_queried_object();
echo $author->first_name . ' ' . $author->last_name;

And you can use the same parameters as get_the_author_meta():

user_login
user_pass
user_nicename
user_email
user_url
user_registered
user_activation_key
user_status
roles
display_name
nickname
first_name
last_name
description (Biographical Info from the user's profile)
jabber
aim
yim
googleplus
twitter
user_level
user_firstname
user_lastname
rich_editing
comment_shortcuts
admin_color
plugins_per_page
plugins_last_view
ID